Given ∠β = 41 ° 25 ′ 35 ″, find the remainder and complement of ∠β

Given ∠β = 41 ° 25 ′ 35 ″, find the remainder and complement of ∠β




Known: the remainder of an acute angle is 25 degrees less than half of its complement
(I'm a novice. I don't have a reward for wealth,


Let the acute angle be x, then
90-x=1/2(180-x)-25
180-2x=180-x-50
x=50
A: the acute angle is 50 degrees



What are the complementary angles of 25 degrees and 14 seconds?


Remainder angle = 90 degrees - 25 degrees 14 seconds = 64 degrees 59 minutes 46 seconds
Complementary angle = 180 degrees - 25 degrees 14 seconds = 154 degrees 59 minutes 46 seconds
Attachment 1 degree = 60 minutes = 3600 seconds